Allardyce has shown great faith in Kouyate during his time at the Boleyn Ground and the 25-year-old is now looking to help his manager keep his job.
Allardyce's contract at West Ham expires in the summer and it is unknown whether he will be in charge next term, but Kouyate clearly wants to ensure that he does everything he can to keep the 60-year-old with the Hammers.
“When I came to London he battled with another team for one month and he called me every day asking me where I was and said he wanted me in London," he said.
“He wanted me at West Ham and said he would make me a big player at West Ham and I could continue my dream. I signed for the club and that has happened. I love this guy."
West Ham United are thought to be weighing up their options at this current stage, with Allardyce failing to win over the entirety of the fan-base.
Although Allardyce has done a good job guiding the club back to the Premier League and establishing their position in the top-flight, his style of football has had its detractors and many West Ham fans feel a new approach is needed.
The London club may have made improvements this season, but they haven't been rapid enough to appease Hammers fans' concerns and their slump in 2015 has done little to help Allardyce's cause.
It means that Kouyate and the rest of his West Ham teammates will be forced to pick up some wins between now and the end of the season if they are to keep their current boss at Upton Park.